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Finding the Fourth Proportional to 6,189.70, 9,285.58 and 3,069.81

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Solution

The fourth proportional to 6,189.70, 9,285.58 and 3,069.81 is: 4,605.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.70 : 9,285.58 = 3,069.81 : x
  2. Step 2: Convert to fraction form
    6,189.70/9,285.58 = 3,069.81/x
  3. Step 3: Cross multiply
    6,189.70x = 9,285.58 × 3,069.81
  4. Step 4: Simplify right side
    6,189.70x = 28,504,966.34
  5. Step 5: Solve for x
    x = 28,504,966.34/6,189.70
  6. Step 6: Final answer
    x = 4,605.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.